Greatest Common Factor of 229/83, 185/57, 467/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 229/83, 185/57, 467/475

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 229/83,185/57,467/475

Given fractions are 229/83,185/57,467/475

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 229,185,467

Greatest Common Factor of Numerators i.e. GCF of 229,185,467 is 1 .

LCM of Denominators means LCM of 83,57,475 as per the given fractions.

LCM of 83,57,475 is 118275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,185,467

GCF of Fractions 229/83,185/57,467/475 is 1/118275

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 229,185,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,185,467 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 229,185,467 . The biggest common factor number is the GCF number.
So the greatest common factor 229,185,467 is 1.

Lets's calculate LCM of 83,57,475

19 83, 57, 475
83, 3, 25

∴ So the LCM of the given numbers is 19 x 83 x 3 x 25 = 118275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118275

Therefore, the GCF of Fractions 229/83,185/57,467/475 is 1/118275

Least Common Multiple of 83,57,475 with GCF Formula

Least Common Multiple of 83,57,475 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 83,57,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,57,475) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(83,57,475) x common factors =1 x 19 = 19

LCM(83,57,475) = ( 83 × 57 × 475 ) / 19

LCM(83,57,475) = 2247225 / 19

LCM(83,57,475) = 118275


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 229/83, 185/57, 467/475

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 229/83, 185/57, 467/475?

Answer: GCF of Numerators as per given numbers 229/83, 185/57, 467/475 is

GCF of Numerators i.e. for 229,185,467 is 1

LCM of denominators i.e. for 83,57,475 is 118275.

Thus, GCF of Fractions is 1/118275.Finally, GCF of Fractions for 229/83, 185/57, 467/475 is 1/118275.